Search a number
-
+
12330000232032 = 2537172789386987
BaseRepresentation
bin1011001101101100110101…
…0010001010111001100000
31121122201212220201211012110
42303123031102022321200
53104003320024411112
642120153544155320
72411545620501240
oct263331522127140
947581786654173
1012330000232032
113a2413a76349a
121471778168b40
136b5938965082
14308abd1c9b20
15165ae925213c
hexb36cd48ae60

12330000232032 has 192 divisors, whose sum is σ = 39180027317760. Its totient is φ = 3314432925696.

The previous prime is 12330000231979. The next prime is 12330000232037. The reversal of 12330000232032 is 23023200003321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330000232037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31668043 + ... + 32055029.

It is an arithmetic number, because the mean of its divisors is an integer number (204062642280).

Almost surely, 212330000232032 is an apocalyptic number.

12330000232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330000232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19590013658880).

12330000232032 is an abundant number, since it is smaller than the sum of its proper divisors (26850027085728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12330000232032 is a wasteful number, since it uses less digits than its factorization.

12330000232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389813 (or 389805 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12330000232032 its reverse (23023200003321), we get a palindrome (35353200235353).

The spelling of 12330000232032 in words is "twelve trillion, three hundred thirty billion, two hundred thirty-two thousand, thirty-two".